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Finding the Fourth Proportional to 3,834.61, 5,286.40 and 3,242.77

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Solution

The fourth proportional to 3,834.61, 5,286.40 and 3,242.77 is: 4,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.61 : 5,286.40 = 3,242.77 : x
  2. Step 2: Convert to fraction form
    3,834.61/5,286.40 = 3,242.77/x
  3. Step 3: Cross multiply
    3,834.61x = 5,286.40 × 3,242.77
  4. Step 4: Simplify right side
    3,834.61x = 17,142,579.33
  5. Step 5: Solve for x
    x = 17,142,579.33/3,834.61
  6. Step 6: Final answer
    x = 4,470.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.